Date post: | 13-Dec-2015 |
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Objective:To solve word problems involving
uniform motion.
An object is in uniform motion when it moves
without changing its speed, or rate.
Example:Two jets leave Denver at 9:00 A.M.,
one flying at a speed 50 km/h greater than the other which is
traveling west. At 11:00 A.M., the planes are 2500 km apart. Find
their speeds.
Step 1:
Explore:The problem asks for the jets’ speeds.
Step 2:
Assign VariablesX=Jet 1’s Speed, and X+50=Jet2’s speed because it is flying 50km/h faster than jet 1.
Step 3:
Plan:
Write an equation
2x+2=2(x+50)=2500
Rate x Time = Distance
Jet 1 x 2 2x
Jet 2 x+50 2 2(x+50)
Step 4
Solve:2x+2(x+50)=25002x+2x+100=2500
4x+100=25004x=2500-100
4x=2400X=600=Jet 1
X+50=650=Jet 2
Step 5:
Check and write your answer in a sentence.
Jet 1 is flying at a rate of 600 km/h, and Jet 2 is flying at 650 km/h.